Unless Microsoft released a web based version of Skype recently, the answer is no; to my knowledge this has not happened yet. There is no Chrome app for Skype and I don't see Microsoft developing one anytime soon. The only hope is if Microsoft develops a web based app. I do think that will happen, but I'm not sure when. While Skype is a good product, Google Hangouts is another option and works very well. Better yet, Hangouts can be used on Android, iPhone, iPad, and computers.